Question

These are 3 questions btw so i need 3 answers!

Answer 1

y = -
`(7)/(2)` cos (
`(1)/(2)` x ) , y = cos ( 3x ) + 2

Explanation:

Image 1.

The graph is reflection of cosine over x-axis and max is 3.5 ⇒ A = -
`(7)/(2)`

Period is ( 4 π ) ⇒ B =
`(1)/(2)`

There are no horizontal and vertical shifts ⇒ C = D = 0

y = -
`(7)/(2)` cos (
`(1)/(2)` x )

Image 3.

The graph of cosine shifted 2 units up only ⇒ D = 2 , C = 0

Period of the given function is
`(2\pi )/(3)` ⇒ B = 3

y = cos ( 3x ) + 2